2438790144 has 352 divisors, whose sum is σ = 8049131520. Its totient is φ = 640991232.

The previous prime is 2438790143. The next prime is 2438790161. The reversal of 2438790144 is 4410978342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2438790096 and 2438790105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438790143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19203009 + ... + 19203135.

Almost surely, 2^2438790144 is an apocalyptic number.

2438790144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024565760).

2438790144 is an abundant number, since it is smaller than the sum of its proper divisors (5610341376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2438790144 is a wasteful number, since it uses less digits than its factorization.

2438790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2438790144 is about 49384.1082130679. The cubic root of 2438790144 is about 1346.0405511239.

The spelling of 2438790144 in words is "two billion, four hundred thirty-eight million, seven hundred ninety thousand, one hundred forty-four".